Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini; Sho Ejiri; János Kollár; Lei Zhang

doi:10.4171/CMH/517

Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini, Sho Ejiri, János Kollár, Lei Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

Original language	English (US)
Pages (from-to)	465-481
Number of pages	17
Journal	Commentarii Mathematici Helvetici
Volume	96
Issue number	3
DOIs	https://doi.org/10.4171/CMH/517
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Fibration
Iitaka's conjecture
Kodaira dimension
Positive characteristic

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10.4171/CMH/517

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@article{6a114f8fa3a14c909d35814ac3394081,

title = "Subadditivity of Kodaira dimension does not hold in positive characteristic",

abstract = "Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.",

keywords = "Fibration, Iitaka's conjecture, Kodaira dimension, Positive characteristic",

author = "Paolo Cascini and Sho Ejiri and J{\'a}nos Koll{\'a}r and Lei Zhang",

note = "Publisher Copyright: {\textcopyright} 2021 Swiss Mathematical Society.",

year = "2021",

doi = "10.4171/CMH/517",

language = "English (US)",

volume = "96",

pages = "465--481",

journal = "Commentarii Mathematici Helvetici",

issn = "0010-2571",

publisher = "European Mathematical Society Publishing House",

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TY - JOUR

T1 - Subadditivity of Kodaira dimension does not hold in positive characteristic

AU - Cascini, Paolo

AU - Ejiri, Sho

AU - Kollár, János

AU - Zhang, Lei

PY - 2021

Y1 - 2021

N2 - Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

AB - Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

KW - Fibration

KW - Iitaka's conjecture

KW - Kodaira dimension

KW - Positive characteristic

UR - https://www.scopus.com/pages/publications/85120728715

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U2 - 10.4171/CMH/517

DO - 10.4171/CMH/517

M3 - Article

AN - SCOPUS:85120728715

SN - 0010-2571

VL - 96

SP - 465

EP - 481

JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

IS - 3

ER -

Subadditivity of Kodaira dimension does not hold in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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